Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5068, 5075 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5068 and 5075 is 7.
GCF(5068,5075) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5068
2 | 5068 |
2 | 2534 |
7 | 1267 |
181 | 181 |
1 |
Prime factors of 5068 are 2,7,181. Prime factorization of 5068 in exponential form is:
5068 = 22×71×1811
Prime Factorization of 5075
5 | 5075 |
5 | 1015 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 5075 are 5,7,29. Prime factorization of 5075 in exponential form is:
5075 = 52×71×291
∴ So by taking common prime factors GCF of 5068 and 5075 is 7
Factors of 5068
List of positive integer factors of 5068 that divides 5068 without a remainder.
1,2,4,7,14,28,181,362,724,1267,2534,5068
Factors of 5075
List of positive integer factors of 5075 that divides 5075 without a remainder.
1,5,7,25,29,35,145,175,203,725,1015,5075
Greatest Common Factor
We found the factors and prime factorization of 5068 and 5075. The biggest common factor number is the GCF number.
So the greatest common factor 5068 and 5075 is 7.
Also check out the Least Common Multiple of 5068 and 5075
(i) The GCF of 5068 and 5075 is associative
GCF of 5068 and 5075 = GCF of 5075 and 5068
1. What is the GCF of 5068 and 5075?
Answer: GCF of 5068 and 5075 is 7.
2. What are the Factors of 5068?
Answer: Factors of 5068 are 1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068. There are 12 integers that are factors of 5068. The greatest factor of 5068 is 5068.
3. What are the Factors of 5075?
Answer: Factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075. There are 12 integers that are factors of 5075. The greatest factor of 5075 is 5075.
4. How to Find the GCF of 5068 and 5075?
Answer:
Greatest Common Factor of 5068 and 5075 = 7
Step 1: Find the prime factorization of 5068
5068 = 2 x 2 x 7 x 181
Step 2: Find the prime factorization of 5075
5075 = 5 x 5 x 7 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 5068 and 5075 is 7